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Finding the Third Proportional to 698,495 and 1,534,155

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Solution

The third proportional to 698,495 and 1,534,155 is: 3,369,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,495 : 1,534,155 = 1,534,155 : x
  2. Step 2: Convert to fraction form
    698,495/1,534,155 = 1,534,155/x
  3. Step 3: Cross multiply
    698,495x = 1,534,155 × 1,534,155
  4. Step 4: Simplify right side
    698,495x = 2,353,631,564,025
  5. Step 5: Solve for x
    x = 2,353,631,564,025/698,495
  6. Step 6: Final answer
    x = 3,369,575.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.